Prime p₀= 2012822124009590039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 166 2 166 2 40 2 (?)
a_n: 0 2 42 44 210 212 378 380 420 422
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 422
Found by: Landjunge
db: batch=80, k=10, 2 40 2 166 2

SPT(16)	2012820545482766881	0 16 28 102 120 130 196 198 220 222 288 298 316 390 402 418	-1578526823158
SPT(16)	2012820637976808181	0 16 60 78 82 106 142 156 172 186 222 246 250 268 312 328	-1486032781858
STPT(10)	2012821190534315171	0 2 6 8 48 50 90 92 96 98	-933475274868
SPT(16)	2012821214359384591	0 10 52 70 108 112 130 148 312 330 348 352 390 408 450 460	-909650205448
STPT(10)	2012821396623143807	0 2 30 32 42 44 54 56 84 86	-727386446232
STPT(10)	2012821913673236291	0 2 66 68 108 110 150 152 216 218	-210336353748
STPT(10)	2012823271751870099	0 2 18 20 30 32 42 44 60 62	1147742280060
STPT(10)	2012823365830902179	0 2 18 20 60 62 102 104 120 122	1241821312140
SPT(16)	2012823369613775567	0 24 56 66 114 140 144 162 164 182 186 212 260 270 302 326	1245604185528
SPT(13)	2012823646175902321	0 6 48 66 216 240 258 276 300 450 468 510 516	1522166312282
SPT(16)	2012823914443365427	0 6 46 96 132 186 204 216 250 262 280 334 370 420 460 466	1790433775388